Name
Abstract | ||
|---|---|---|
This paper is devoted to the numerical approximation of a nonlinear parabolic balance equation, which describes the heat evolution of a magnetically confined plasma in the edge region of a tokamak. The nonlinearity implies some numerical difficulties, in particular for the long-time behaviour approximation, when solved with standard methods. An efficient numerical scheme is presented in this paper, based on a combination of a directional splitting scheme and the implicit–explicit scheme introduced in Filbet and Jin [A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources, J. Comput. Phys. 229 2010, pp. 7625–7648]. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1080/00207160.2012.679732 | Int. J. Comput. Math. |
Keywords | Field | DocType |
long-time behaviour approximation,numerical study,heat evolution,directional splitting scheme,kinetic equation,edge region,plasma physic,j. comput,numerical approximation,numerical difficulty,nonlinear heat equation,explicit scheme,efficient numerical scheme,finite volume method,plasma physics,numerical analysis | Mathematical optimization,Tokamak,Nonlinear system,Mathematical analysis,Balance equation,Heat equation,Finite volume method,Kinetic scheme,Numerical stability,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
89 | 8 | 0020-7160 |
Citations | PageRank | References |
4 | 0.45 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francis Filbet | 1 | 271 | 37.95 |
| Claudia Negulescu | 2 | 58 | 7.71 |
| Chang Yang | 3 | 16 | 3.81 |